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Home > CCG > Chapter 7 > Lesson 7.3.3 > Problem 7-143


Examine the arrow diagram below.  

Polygon is a parallelogram area of the polygon equals base times height.

  1. Write this conjecture as a conditional (“If, then”) statement.

    If a polygon is a parallelogram, then its area equals its base times its height.

  2. Write the converse of this conditional statement. Is the converse statement a true statement?

    If the area of a polygon is the base times its height, then the polygon is a parallelogram.

  3. Write a similar conjecture about triangles. Write it once as a conditional statement and once as an arrow diagram.

  4. Write the converse of your triangle conjecture from part (c). Is the converse statement true?